Problema Solution
a department store in your hometown charges 9.75% tax, the store's locaton in your cousin's hometown only charges 7.25% tax. If a shoppers pre-tax receipt is between $11.57 and $81.43 write and graph a compound inequality that describes the difference in taxes paid for the two locations (to the nearest cent).
Answer provided by our tutors
let x be the cost and we know that pre-tax receipt is between $11.57 and $81.43 thus
11.57≤ x ≤ 81.43
let y be the difference in taxes then
11.57*(9.75/100 - 7.25/100) ≤ y ≤ 81.43*(9.75/100 - 7.25/100)
11.57*(0.0975 - 0.0725) ≤ y ≤ 81.43*(0.0975 - 0.0725)
11.57*0.0250 ≤ y ≤ 81.43*0.0250
0.28925 ≤ y ≤ 2.03575
compound inequality of difference in taxes is
0.28925 ≤ y ≤ 2.03575
to the nearest cent is
0.29 ≤ y ≤ 2.04
click here to see the graph